Reasoning :: Syllogism Problems And Answers

(Q.6 - 10) : In each question below are four statements followed by four conclusions numbered I, II, III and IV. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four given statements disregarding commonly known facts.

6. Statements :
All belts are rollers.
Some rollers are wheels.
All wheels are mats.
Some mats are cars.
Conclusion :
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.

7. Statements :
Some tyres are rains.
Some rains are flowers.
All flowers are jungles.
All jungles are tubes.
Conclusions :
I. Some jungles are types.
II. Some tubes are rains. r
III. Some jungles are rains.
IV. Some tubes are floers.

Some rains are floers.
All flowers are jungles.
I + A => I - types of Conclusion
"Some rains are jungles."
Conclusion III is Converse of it.All flowers are jungles.
All jungles are tubes.
A + A => A - types of Conclusion
"All flowers are tubes."
Conclusion IV is Converse of it.Some rains are jungles.
All jungles are tubes.
I + A => I - types of Conclusion
"Some rains are tubes."
Conclusion II is Converse of it.

8. Statements :
Some birds are goats.
Some goats are horses.
Some horses are lions.
Some lions are tigers.
Conclusions :
I. Some tigers are goats.
II. No tiger is goat.
III. Some lions are birds.
IV. No lion is bird.

Explanation:All the four Premises are Particular Affirmative (I - type)
No Conclusion follows from the two Particular Premises.
Conclusions I and II from Complementary Pair.
∴ either Conclusion I or II follows.
Similarly, Conclusions III and IV form Complementary Pair.
∴ either Conclusion III or IV follows.

9. Statements :
All papers are bottles.
All bottles are cups.
Some cups are jugs.
Some jugs are plates.
Conclusions :
I. Some plates are cups.
II. Some plates are bottles.
III. Some cups are papers.
IV. Some bottles are papers.

10. Statements :
All bulbs are wires.
No wire is cable.
Some cables are paints.
Conclusions :
I. Some paints are cables.
II. Some wires are bulbs.
III. Some brushes are wires.
IV. Some cables are bulbs.

Explanation:All bulbs are wires.
No wire is cable.
A + E => E - type of Conclusion
"No bulb is cable."Some cables are brushes
All brushes are paints.
I + A => I - type of Conclusion
"Some cables are paints."
Conclusion I is Converse of it.
Conclusion II is Converse of the first Premise.

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Syllogism : Logical Reasoning

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